• Nonlinear Functional Analysis and Applications
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• v.28 no.1
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• pp.251-263
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• 2023

In the setting of extended quasi b-metric spaces, we introduce a new concept called "extended A-contraction". We then use our concept to prove a common fixed point result for a pair of self mappings under a set of conditions. Also, we provide the concepts of extended B-contraction and extended R-contraction. We then establish a common fixed point under these new contractions. Our results generalize many existing result of fixed point in metric spaces. Furthermore, we give an example to illustrate and support our result.

• Bulletin of the Korean Mathematical Society
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• v.37 no.3
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• pp.569-575
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• 2000

In this paper, a unique common fixed point theorem for a sequence of mutually contractive and commuting sequence of self mappings on Menger spaces has been proved.

• Journal of the Korean Institute of Intelligent Systems
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• v.10 no.3
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• pp.228-231
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• 2000

More generalized common fixed point theorems for a sequence of fuzzy mappings to the nonexpansive case on Menger probabilistic metric spaces, which generalize recent results of Lee et al.[13], are obtained.

• Korean Institute of Interior Design Journal
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• no.7
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• pp.3-11
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• 1996

This study intents to provide useful information of effective office works by evaluating existing office work environment. It focuses on evaluating the quality of personal and common work spaces, comparing responses for user groups to their work environment, and identifying factors which affect the satisfaction of work environment . The study is based on the survey which has been answered by 193 respondents from 24 companies (mainly from large corporate companies) in Seoul. This study finds out that noise is the most serious problem in common work space and that environmental comfort and the size of common space are not satisfactory in their effective work. It identifies that open space work environment, which has been expansively provided for a long time, causes noise problem and deprives office workers of privacy and personalization opportunities. The respondents reply that meeting spaces are not enough in number and size and lack of privacy and its adequate quality . They respond that privacy , chair comfortness and storage spaces are important factors for personal work spaces. In order to improve the quality and efficiency of work, this study proposes that companies should provide convenient office facilities which considering human ergonomic and should educate professional facility managers.

• Journal of applied mathematics & informatics
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• v.17 no.1_2_3
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• pp.329-341
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• 2005

In this paper, we introduce new random iterative sequences with errors approximating a unique random common fixed point for three random set-valued strongly pseudo-contractive mappings and show the convergence of the random iterative sequences with errors by using an approximation method in real uniformly smooth separable Banach spaces. As applications, we study the existence of random solutions for some kind of random nonlinear operator equations group in separable Hilbert spaces.

• Communications of the Korean Mathematical Society
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• v.27 no.4
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• pp.733-743
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• 2012

In the present paper, we prove common fixed point theorems for single-valued and set-valued occasionally weakly compatible mappings in Menger spaces. Our results improve and extend the results of Chen and Chang [Chi-Ming Chen and Tong-Huei Chang, Common fixed point theorems in Menger spaces, Int. J. Math. Math. Sci. 2006 (2006), Article ID 75931, Pages 1-15].

• Communications of the Korean Mathematical Society
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• v.32 no.2
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• pp.447-456
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• 2017

The purpose of this paper is to introduce some strong convergence theorems for the problem of finding a common zero of a finite family of monotone operators and the problem of finding a common fixed point of a finite family of nonexpansive in Hilbert spaces by hybrid projection method.

• Communications of the Korean Mathematical Society
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• v.32 no.1
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• pp.65-74
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• 2017

In this paper, we establish a unique common fixed point theorem for T-contraction of two self maps on generalized cone b-metric spaces with solid cone. The result of this paper improves and generalizes several well-known results in the literature. Two examples are also given to support the result.

• Korean Journal of Mathematics
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• v.28 no.2
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• pp.169-189
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• 2020

A common fixed point result for weakly increasing mappings satisfying generalized contractive type in ordered partial S-metric spaces are derived. Also as an application of our results we consider a couple integral equations.to guarantee the existence of a common solution.

• Journal of applied mathematics & informatics
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• v.29 no.1_2
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• pp.257-265
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• 2011

In this paper, we first prove a common fixed point theorem for generalized nonlinear contraction mappings in complete metric spaces there by generalizing and extending some known results. Then we present this result in the context of ordered metric spaces by using monotone non-decreasing mapping.